Generalized invexity in separable Hilbert spaces (Q968877)

In this paper, the author shows that two of the main results of \textit{L.-Y.\thinspace Fan} [Nonlinear Anal., Theory Methods Appl.\ 69, No.\,11 (A), 4190--4198 (2008; Zbl 1163.90023)] are invalid, and the remaining ones can be proved in any separable Hilbert space, rather than \(\mathbb{R}^n\). Furthermore, the author provides some characterizations for generalized invexity and generalized monotonicity in separable Hilbert spaces.